A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 25°. From a point 1500 feet closer to the mountain along the plain, they find that the angle of elevation is 27°. How high (in feet) is the mountain?

Q: The Cats R Us building is 60 feet high. Mrs.Hart is standing some distance away from the tower…

A: Here this problem is part of height and distance so we will find this by that method.

Q: A forest ranger looking out from a ranger's station can see a forest fire at a 35 degree angle of…

A: A forest ranger looking a forest fire at 35 degree angle of depression.

Q: Diego and jonathan are on a hiking expedition. Jonathan is a certain distance ahead of Diego when…

A: To find the distance between jonathan and diego

Q: Wilfrid is flying a kite in a flat field. He lets out 15 metres of string. The angle of elevation of…

A: The length of the string of the kite = 15 meters The angle of elevation of the kite from Wilfrid's…

Q: A balloonist is directly above a straight road 1.7 miles long that joins two towns. She finds that…

A:

Q: Jim is looking up at a tree at an angle of elevation of 60°. If Jim is standing 72 feet away from…

A: use the formula by the trigonometric ratio for finding the height of the tree.

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A:

Q: A surveyor in an airplane travelling east sees a lake in front of her. The angle of depression to…

A:

Q: From the top of an 82 meter high vertical cliff, a boat has an angle of depression of 32 degrees.…

A: We will use trigonometric ratio to solve this.

Q: An ant looks up at a UFO at an angle of elevation of 23 degrees. The ant noticed that the shadow of…

A:

Q: A pedestal is 5.43 feet tall, and a statue is placed on top of it. A spotlight on the floor lights…

A:

Q: Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures…

A:

Q: You are standing on a boat that is 150 feet from a cliff. If you look up at a 35 degree angle you…

A: Solution: The objective is to find the height of the cliff

Q: You are standing on top of a cliff 500 ft. above the ocean looking out at the water.  You see a…

A: tanθ=oppositeadjacentIn this question, opposite is the height and adjacent is the base

Q: Jojo and Kayla are staring up at a hot air balloon balloon. Jojo is  directly east of the hot air…

A:

Q: You are flying a drone to get a nice picture of a lighthouse. As your drone is hovering above the…

A:

Q: An airplane is one mile above sea level when it begins to rise at a constant angle of 2 ° for the…

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.